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-4m + 24m = 32 ( subtract 32 from each side and get in standard form ) -4m + 24m - 32 = 0 quadratic formula.......... m = -b +/- sqrt(b^2-4ac)/2a a = -4 b = 24 c = -32 m = -24 +/- sqrt[24^2 - 4(-4)(-32)]/2(-4) m = -24 +/- sqrt(576 - 512)/-8 m = -24 +/- sqrt(64)/-8 m = [-24 +/- 8]/-8 m = 2 m = 4 Downturn parabola with these X intercepts
A + B is also a multiple of C. ------------------------------------------- let k, m and n be integers. Then: A = nC as A is a multiple of C B = mC as B is a multiple of C → A + B = nC + mC = (n + m)C = kC where k = n + m kC is a multiple of C. Thus A + B is a multiple of C.
c = 25m
x(-b)=m(x-c)
Chickens = c, Cows = m c+m=36 c=36-m 2c+3m=76 2(36-m)+3m=76 72-2m+3m=76 m=4 c=36-4=32 He has 32 chickens.